The special Aronszajn tree property

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Journal of Mathematical Logic 20 (1):2050003 (2019)
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Abstract

Assuming the existence of a proper class of supercompact cardinals, we force a generic extension in which, for every regular cardinal [Formula: see text], there are [Formula: see text]-Aronszajn trees, and all such trees are special.

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2020

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10.1142/s0219061320500038

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Citations of this work

Souslin trees at successors of regular cardinals.Assaf Rinot - 2019 - Mathematical Logic Quarterly 65 (2):200-204.
Specialising Trees with Small Approximations I.Rahman Mohammadpour - forthcoming - Journal of Symbolic Logic:1-24.

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References found in this work

Aronszajn trees on ℵ2 and ℵ3.Uri Abraham - 1983 - Annals of Mathematical Logic 24 (3):213-230.
Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.
The tree property at successors of singular cardinals.Menachem Magidor & Saharon Shelah - 1996 - Archive for Mathematical Logic 35 (5-6):385-404.
The tree property up to אω+1.Itay Neeman - 2014 - Journal of Symbolic Logic 79 (2):429-459.

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